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Poly-, Quasi- and Rank-One Convexity in Applied Mechanics : CISM International Centre for Mechanical Sciences - Jorg Schroder

Poly-, Quasi- and Rank-One Convexity in Applied Mechanics

CISM International Centre for Mechanical Sciences

By: Jorg Schroder (Editor), Patrizio Neff (Editor)

Hardcover

Published: 12th May 2010
Ships: 7 to 10 business days
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  • Paperback View Product Published: 28th June 2012
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    $397.75

Generalized convexity conditions play a major role in many modern mechanical applications. They serve as the basis for existence proofs and allow for the design of advanced algorithms. Moreover, understanding these convexity conditions helps in deriving reliable mechanical models.
The book summarizes the well established as well as the newest results in the field of poly-, quasi and rank-one convexity. Special emphasis is put on the construction of anisotropic polyconvex energy functions with applications to biomechanics and thin shells. In addition, phase transitions with interfacial energy and the relaxation of nematic elastomers are discussed.

Progress and puzzles in nonlinear elasticity.- Quasiconvex envelopes in nonlinear elasticity.- Anisotropie polyconvex energies.- Construction of polyconvex energies for non-trivial anisotropy classes.- Applications of anisotropic polyconvex energies: thin shells and biomechanics of arterial walls.- Phase transitions with interfacial energy: convexity conditions and the existence of minimizers.- Nematic elastomers: modelling, analysis, and numerical simulations.- Applications of polyconvexity and strong ellipticity to nonlinear elasticity and elastic plate theory.- ?-convergene e for a geometrically exact Cosserat shell-model of defective elastic crystals.

ISBN: 9783709101735
ISBN-10: 3709101735
Series: CISM International Centre for Mechanical Sciences
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 361
Published: 12th May 2010
Publisher: SPRINGER VERLAG GMBH
Country of Publication: AT
Dimensions (cm): 23.5 x 15.5  x 2.54
Weight (kg): 0.88